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Remainder term estimate for the asymptotic normality of the number of renewals

Published online by Cambridge University Press:  14 July 2016

Gunnar Englund
Gunnar Englund*
Affiliation:
Royal Institute of Technology, Stockholm
*
∗Postal address: Department of Mathematics, Royal Institute of Technology, S–100 44 Stockholm, Sweden.
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Abstract

It is well known that the number of renewals in the time interval [0, t] for an ordinary renewal process is approximately normally distributed under general conditions. We give a remainder term estimate for this normal distribution approximation.

Keywords

RENEWAL PROCESSNORMAL APPROXIMATIONREMAINDER TERM
Type
Short Communications
Information
Journal of Applied Probability , Volume 17 , Issue 4 , December 1980 , pp. 1108 - 1113
Copyright
Copyright © Applied Probability Trust 

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References

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